Information on Result #548220

There is no linear OA(346, 55, F3, 31) (dual of [55, 9, 32]-code), because “Gur” bound on codes from Brouwer’s database

Mode: Bound (linear).

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OOA(346, 55, F3, 2, 31) (dual of [(55, 2), 64, 32]-NRT-code) [i]Depth Reduction
2No linear OOA(346, 55, F3, 3, 31) (dual of [(55, 3), 119, 32]-NRT-code) [i]
3No linear OOA(346, 55, F3, 4, 31) (dual of [(55, 4), 174, 32]-NRT-code) [i]
4No linear OOA(346, 55, F3, 5, 31) (dual of [(55, 5), 229, 32]-NRT-code) [i]
5No digital (15, 46, 55)-net over F3 [i]Extracting Embedded Orthogonal Array